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Simplifying -4(4X + 5) = 2(-6X + 8) Reorder the terms: -4(5 + 4X) = 2(-6X + 8) (5 * -4 + 4X * -4) = 2(-6X + 8) (-20 + -16X) = 2(-6X + 8) Reorder the terms: -20 + -16X = 2(8 + -6X) -20 + -16X = (8 * 2 + -6X * 2) -20 + -16X = (16 + -12X) Solving -20 + -16X = 16 + -12X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '12X' to each side of the equation. -20 + -16X + 12X = 16 + -12X + 12X Combine like terms: -16X + 12X = -4X -20 + -4X = 16 + -12X + 12X Combine like terms: -12X + 12X = 0 -20 + -4X = 16 + 0 -20 + -4X = 16 Add '20' to each side of the equation. -20 + 20 + -4X = 16 + 20 Combine like terms: -20 + 20 = 0 0 + -4X = 16 + 20 -4X = 16 + 20 Combine like terms: 16 + 20 = 36 -4X = 36 Divide each side by '-4'. X = -9 Simplifying X = -9
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